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Finding the Fourth Proportional to 23,874.28, 35,802.96 and 7,002.60

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Solution

The fourth proportional to 23,874.28, 35,802.96 and 7,002.60 is: 10,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.28 : 35,802.96 = 7,002.60 : x
  2. Step 2: Convert to fraction form
    23,874.28/35,802.96 = 7,002.60/x
  3. Step 3: Cross multiply
    23,874.28x = 35,802.96 × 7,002.60
  4. Step 4: Simplify right side
    23,874.28x = 250,713,807.70
  5. Step 5: Solve for x
    x = 250,713,807.70/23,874.28
  6. Step 6: Final answer
    x = 10,501.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.